How much would a simple pendulum deflect due to the gravity of a nearby mountain? As a model of a large mountain, use a sphere of radius R = 2.2 km and mass density = 3000 kg/m. If a small mass is hung at the end of a string of length 0.60 m at a distance of 3.2 R from the center of the sphere (and assuming the sphere pulls in a horizontal direction on the hanging mass), how far would the small hanging mass deflect under the influence of the sphere's gravitational force? Your answer should be in m (micrometers, 10-6 m): Ax =